What is the Greatest Common Factor of 39258 and 39267?

Greatest common factor (GCF) of 39258 and 39267 is 9.

GCF(39258,39267) = 9

We will now calculate the prime factors of 39258 and 39267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39258 and 39267.

How to find the GCF of 39258 and 39267?

We will first find the prime factorization of 39258 and 39267. After we will calculate the factors of 39258 and 39267 and find the biggest common factor number .

Step-1: Prime Factorization of 39258

Prime factors of 39258 are 2, 3, 727. Prime factorization of 39258 in exponential form is:

39258 = 2¹ × 3³ × 727¹

Step-2: Prime Factorization of 39267

Prime factors of 39267 are 3, 4363. Prime factorization of 39267 in exponential form is:

39267 = 3² × 4363¹

Step-3: Factors of 39258

List of positive integer factors of 39258 that divides 39258 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 727, 1454, 2181, 4362, 6543, 13086, 19629

Step-4: Factors of 39267

List of positive integer factors of 39267 that divides 39258 without a remainder.

1, 3, 9, 4363, 13089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39258 and 39267. The biggest common factor number is the GCF number.
So the greatest common factor 39258 and 39267 is 9.

Also check out the Least Common Multiple of 39258 and 39267